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Finding the Fourth Proportional to 2,581.93, 3,563.63 and 1,697.82

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Solution

The fourth proportional to 2,581.93, 3,563.63 and 1,697.82 is: 2,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.93 : 3,563.63 = 1,697.82 : x
  2. Step 2: Convert to fraction form
    2,581.93/3,563.63 = 1,697.82/x
  3. Step 3: Cross multiply
    2,581.93x = 3,563.63 × 1,697.82
  4. Step 4: Simplify right side
    2,581.93x = 6,050,402.29
  5. Step 5: Solve for x
    x = 6,050,402.29/2,581.93
  6. Step 6: Final answer
    x = 2,343.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.